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yKpoI14uk [10]
3 years ago
7

Multiply (7.7 × 10^6)(7 × 10^5). Express the result in scientific notation.

Mathematics
2 answers:
FromTheMoon [43]3 years ago
7 0

The scientific notation for 5390000000000 = 5.39 x 10^12

Katarina [22]3 years ago
5 0

Answer:

5.39 × 10¹²

Explanation:

Multiply the coefficients.

7.7 × 7 = 53.9

===============

Multiply the exponential terms.

When you multiply exponential terms, you <em>add the exponent</em>s.

10⁵ × 10⁶ = 10⁽⁵⁺⁶⁾ = 10¹¹

10⁵ × 10⁶ = 10¹¹

===============

Multiply the products of the coefficients and the exponential terms.

Product = 53.9 × 10¹¹

However, the answer is <em>not in standard form</em>. It should have only one digit before the decimal point.

Product = 53.9 × 10¹¹                   Multiply by 10/10

Product = 53.9 × 10¹¹ × 10/10       Distribute the 10s

Product = (53.9/10) × (10¹¹ × 10)  

Product = 5.39 × 10¹²

===============

A scientific calculator does the operation for you automatically. The buttons may have different labels on your calculator, but the key sequence is usually something like

7.7 Exp 6 × 7 Exp 5 = 5.39 × 10¹²

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Find the area of a circle whose radius is 12 in. Round to the nearest 10
Ksivusya [100]

Answer:

Area = pi r²

area = 22/7 × 12 × 12 = 452.57 in²

7 0
3 years ago
X² – 4x – 12=0 <br> solve by completing the square
Juliette [100K]

Answer:

x = -2 0r x = 6

Step-by-step explanation:

from the question

X² – 4x – 12=0

solve by completing the square method

we have;

X² – 4x – 12=0

X² – 4x = 12

to make the left hand side a perfect square we add 4 to both sides.

X² -4x  + 4 = 12 + 4

X² -4x  + 4 = 16

from left hand side X² -4x  + 4

= (x -2) × ( x -2)

it can be simply expressed as

( x-2)²

so since X² -4x  + 4  has been simplified to be ( x-2)²

then,

( x-2)² = 16

x - 2 = √ 16

since square root has  two values it can either be positive or negative

so we have

x = 2 + √16

or

x = 2 - √16

therefore

x = 2 + √16

x = 2 + 4

x = 6

0r

x = 2 - 4

x = -2

4 0
3 years ago
I need help. I'm very confused.
Readme [11.4K]
Rounded to the nearest thousandth
3n = 3 (0.333) = 0.999 = 1
-n/3 = -0.333/ 3 = -0.111
2n = 2(0.333) = 0.666 = 0.667



8 0
3 years ago
What is 8 plus (-2) gehehfbf
nalin [4]

This is just another way of saying 8 - 2.

So, 8 + (-2) = 6.

Hope this helps.

3 0
3 years ago
1. Los estudiantes de primer grado de la IE Miguel Grau son 184, si la relación entre los que usan anteojos y los que no usan es
Fudgin [204]

Answer:

69 estudiantes.

Step-by-step explanation:

Sabemos que el número total de estudiantes en primer grado es 184.

También sabemos que la relación entre los que usan anteojos y los que no es 3/5.

Esta relación es igual al cociente entre el número de estudiantes que usan anteojos y el número de estudiantes que no usan anteojos.

Si definimos las variables:

A = número de estudiantes que usa anteojos

B = número de estudiantes que no usa anteojos.

Tenemos la relación:

A/B = 3/5

podemos reescribir como:

A = (3/5)*B

Y también sabemos que el número total de estudiantes es 184, entonces tendríamos que:

A + B = 184.

Podemos aislar B en esta segunda ecuación para luego reemplazarlo en la primera.

Aislando B obtenemos:

B = 184 - A

Si reemplazamos esto en la otra ecuación obtenemos:

A = (3/5)*B

A = (3/5)*(184 - A)

Ahora podemos resolver esto para A.

A = (3/5)*184 - (3/5)*A

A + (3/5)*A = (3/5)*184

A*(1 + 3/5) = (3/5)*184

A*(5/5 + 3/5) = (3/5)*184

A*(8/5) = (3/5)*184

A = (5/8)*(3/5)*184

A = 69

Podemos concluir que 69 estudiantes usan anteojos.

4 0
3 years ago
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